221221222122122 has 32 divisors (see below), whose sum is σ = 340815489537600. Its totient is φ = 107653500720000.

The previous prime is 221221222122101. The next prime is 221221222122149.

221221222122122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221221222122122² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221221222122091 and 221221222122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226562654 + ... + 227536982.

It is an arithmetic number, because the mean of its divisors is an integer number (10650484048050).

Almost surely, 2^{221221222122122} is an apocalyptic number.

221221222122122 is a deficient number, since it is larger than the sum of its proper divisors (119594267415478).

221221222122122 is a wasteful number, since it uses less digits than its factorization.

221221222122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993542.

The product of its digits is 2048, while the sum is 26.

The spelling of 221221222122122 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".